| Full lesson | Create for a teacher a set of content for giving a lesson, beginning with the lesson plan. Each new block of materials must begin with an H1 heading (other subheaders must be H2, H3, etc). When you describe required pictures, write those descriptions in curly brackets, for example: {A picture of a triangle} |
| Which subject | Mathematics |
| What topic | EXPRESSIONS AND NUMBER PROPERTIES |
| What length (min) | 45 |
| What age group | Year or Grade 6 |
| Class size | 15 |
| What curriculum | Florida BEST Accesses Point Standard |
| Include full script | |
| Check previous homework | |
| Ask some students to presents their homework | |
| Add a physical break | |
| Add group activities | |
| Include homework | |
| Show correct answers | |
| Prepare slide templates | |
| Number of slides | 5 |
| Create fill-in cards for students | |
| Create creative backup tasks for unexpected moments |
Mathematics
Expressions and Number Properties
Year/Grade 6
45 minutes
15
Florida BEST Access Points Standard
| Step Number | Step Title | Length (minutes) | Details |
|---|---|---|---|
| 1 | Check Homework | 10 | A few students present their homework answers to the class. The teacher facilitates discussion and provides feedback to reinforce understanding. |
| 2 | Introduction to Expressions | 5 | Teacher introduces the concept of mathematical expressions using examples, highlighting key components. |
| 3 | Number Properties Overview | 5 | Teacher explains the number properties (commutative, associative, distributive) with examples. |
| 4 | Group Activity | 10 | Students form groups of 3-4 to work on problems related to expressions and number properties. Each group will discuss and solve challenges together. |
| 5 | Physical Activity Break | 5 | Students engage in a brief physical activity to refresh their minds. This could include simple exercises or a short game. |
| 6 | Printable Card Activity | 5 | Teacher distributes printable cards for students to fill with expressions and properties during the lesson. |
| 7 | Collect and Check Cards | 3 | Teacher conducts a random check of the filled cards to assess student understanding and provides immediate feedback. |
| 8 | Assign Homework | 2 | Teacher assigns homework related to the day's lesson, explaining expectations and due dates. |
This lesson plan is designed to engage 6th-grade students with hands-on activities and collaborative work while meeting state standards in mathematics education. Students will leave with a better understanding of expressions and number properties, ready to build upon their skills in future lessons.
“Good morning, class! Before we dive into today’s lesson, let’s check the homework from last time. I’d like a few volunteers to come up and present their answers. Remember, this is a great time to ask questions or clarify any misunderstandings!"
Pause for students to share.
“Thank you, everyone, for sharing your work! Let’s discuss any challenges you encountered. Who can tell me what they found difficult? How did you approach those problems? Great insights! Remember, these discussions help everyone learn together.”
“Now, let’s jump into today’s topic: mathematical expressions. An expression is a combination of numbers, variables, and operations, but it does not show an equality! For instance, who can give me an example of a mathematical expression?”
Wait for students to respond.
“Excellent! ‘3x + 5’ is a perfect example. Here, ‘3x’ represents a term with a variable, while ‘5’ is a constant. Can anyone tell me the main components of this expression?”
Encourage discussion if needed.
“Great job, everyone! The key components are the coefficients, variables, constants, and operators. Keep these in mind as we explore further!”
“Next, we’re going to look at some important number properties that we will use frequently. There are three key properties I want you to be familiar with: commutative, associative, and distributive. Let’s start with the commutative property. Who can explain what that means?”
Engage with students.
“Fantastic! The commutative property states that the order of adding or multiplying numbers does not change the result. For example, ‘3 + 5’ is the same as ‘5 + 3’ and ‘2 × 4’ is the same as ‘4 × 2’. Now, let’s talk about the associative property. What do you think it means?”
Facilitate discussion on this property.
“Exactly! The associative property tells us that the way we group numbers doesn’t affect the sum or the product. For example, with addition: ‘(2 + 3) + 4’ is the same as ‘2 + (3 + 4)’. Lastly, we have the distributive property, which involves multiplying a single term by two or more terms in a parenthesis. Can anyone give an example?”
Encourage input and clarify as needed.
“Excellent work! Keep these properties in mind—they’re essential tools for simplifying expressions.”
“Now it’s time to put your learning to the test! I’d like you to form groups of 3 to 4 students. Each group will receive a set of problems that involve expressions and number properties. Discuss them amongst yourselves, and let’s see how you can work together to solve each challenge. You’ll have 10 minutes—ready? Go!”
Monitor the groups as they work, providing support as needed.
“Alright, great job, everyone! Let’s take a quick break to refresh our minds. Stand up and form a circle, please. We’re going to do a quick series of stretches and some fun jumping jacks! Ready? Let's count together!”
Lead them in a brief physical activity.
“Fantastic! I hope you feel more energized and ready to tackle the next part of the lesson!”
“Now we’re going to continue with our next activity. I’m going to hand out printable cards. On these cards, you will fill in examples of expressions and the number properties we discussed today. Make sure to have at least two examples for each property, and be creative! You’ll have 5 minutes for this activity—let’s get started!”
Distribute cards and help students as needed.
“Time’s up! Please pass your cards to the front. I will quickly review a few, and I’ll offer immediate feedback to help you understand any mistakes. Remember, this is all part of learning. If I call on you, please explain your example briefly.”
Conduct a random check of the filled cards.
“Thank you for your participation! This feedback is crucial in understanding the concepts we've covered.”
“Before we wrap up, I want to assign some homework that relates directly to today’s lesson. You’ll be getting a worksheet with more problems involving expressions and the number properties we discussed. It will be due next class. Please take note of the details on the sheet. If you have any questions about the homework, feel free to ask now!”
Answer any remaining questions.
“Great! I look forward to seeing your homework next time. Have a wonderful day, everyone!”
| Slide Number | Image | Slide Content |
|---|---|---|
| 1 | {Image: Classroom with students presenting} | - Homework check and volunteer presentations. - Encourage students to share challenges and insights. - Importance of discussing misunderstandings. |
| 2 | {Image: Mathematical expressions on board} | - Introduction to mathematical expressions. - Definition: Combination of numbers, variables, and operations without equality. - Key components: coefficients, variables, constants, and operators. |
| 3 | {Image: Number properties chart} | - Overview of number properties: Commutative, Associative, Distributive. - Commutative Property: Order of numbers does not change the result. - Associative Property: Grouping of numbers doesn’t affect the sum/product. - Distributive Property: Multiplying a single term by terms in parenthesis. |
| 4 | {Image: Students working in groups} | - Group activity to solve problems on expressions and number properties. - Students form groups of 3-4. - Collaboration and support to tackle challenges. |
| 5 | {Image: Students doing stretches} | - Physical activity break for refreshment. - Quick stretches and jumping jacks. - Encouragement to stay energized for the next part of the lesson. |
Define a mathematical expression and provide two examples. Explain why each example qualifies as an expression.
List the four main components of a mathematical expression and explain the role of each component.
Explain the commutative property and provide an example using both addition and multiplication.
Describe the associative property and give an example that demonstrates both addition and multiplication.
What is the distributive property? Provide an example that illustrates this property in action.
Write an expression using a coefficient, a variable, and a constant. Then, apply the distributive property to expand that expression.
Create a sentence explaining how the properties of numbers can be useful when simplifying expressions.
Solve the following expression by applying the distributive property: 3(2 + 4).
A mathematical expression is a combination of numbers, variables, and operations that do not indicate an equality. Examples: (2x + 3) and (5 - y).
Components:
The commutative property states that the order of addition or multiplication does not affect the result. Example: (3 + 5 = 5 + 3) (addition); (2 \times 4 = 4 \times 2) (multiplication).
The associative property states that the way numbers are grouped does not change the sum or product. Example: ((2 + 3) + 4 = 2 + (3 + 4)) (addition); ((2 \times 3) \times 4 = 2 \times (3 \times 4)) (multiplication).
The distributive property states that a single term can be multiplied by two or more terms in parentheses. Example: (a(b + c) = ab + ac).
An example of an expression: (4x + 7). Using the distributive property: (3(2x + 5) = 6x + 15).
The properties of numbers help simplify expressions by allowing us to reorganize and combine terms effectively, streamlining calculations.
(3(2 + 4) = 3 \times 2 + 3 \times 4 = 6 + 12 = 18).
| Question | Answer |
|---|---|
| What is a mathematical expression? | |
| Can you provide an example of a term with a variable? | |
| What are the main components of a mathematical expression? | |
| Explain the commutative property in your own words. | |
| Give an example of how the commutative property works with addition. | |
| What does the associative property state? | |
| Can you provide an example that illustrates the associative property with addition? | |
| How does the distributive property function? | |
| Provide an example of the distributive property. | |
| How can we apply these number properties in simplifying expressions? | |
| What should you include on your printable cards for the activity? | |
| Why is feedback important when reviewing your card examples? | |
| What type of homework related to today’s lesson will you be assigned? | |
| How can you ensure you understand the homework assignment? | |
| What challenges did you face when learning about expressions and number properties? |
Let's stretch and move our way,
With some exercises, let’s play!
1. Arm circles, big and wide,
2. Touch your toes, bend and glide.
3. Jumping jacks, one, two, three!
4. High knees up—feel the glee!
5. Squats down low, then back up high,
6. Reach for the stars, give it a try.
7. Side lunges, step to the right,
8. Turn around, let’s do it tight!
9. Spin in circles, let’s give it flair,
10. Shake out the wiggles, here and there.
11. Stretch your arms, lift them high,
12. Wiggle your fingers, say goodbye!
Now you’re all warmed, let’s get back,
To our lesson on expressions—back on track!